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| ロバストMann-Whitney U検定× | ロバスト独立標本t検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1947 / 2003 | 1974–1990s |
| 提唱者≠ | Rand Wilcox (robust extensions); original test by Mann & Whitney (1947) | Rand R. Wilcox; Karen K. Yuen (trimmed-mean form) |
| 種類≠ | Robust nonparametric two-group comparison | Robust parametric mean comparison |
| 原典≠ | Wilcox, R. R. (2005). Introduction to Robust Estimation and Hypothesis Testing (2nd ed.). Academic Press. ISBN: 978-0127515427 | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 |
| 別名 | robust Wilcoxon rank-sum test, robust two-sample rank test, outlier-resistant Mann-Whitney test, robust nonparametric two-group comparison | Yuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test |
| 関連≠ | 1 | 2 |
| 概要≠ | The Robust Mann-Whitney U test is a nonparametric two-group comparison that combines the rank-based logic of the classic Mann-Whitney U test with modern robust techniques — such as outlier screening, trimmed means, or robust variance estimation — to produce reliable inferences when data contain extreme values, heavy-tailed distributions, or other violations that compromise the standard test. | The robust independent samples t-test compares the central tendency of two independent groups using trimmed means and Winsorized variances, making it substantially less sensitive to outliers and non-normality than the classical Student or Welch t-test. The most widely used form is Yuen's test, which also accommodates unequal variances across groups. |
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